Abstract
We analyze a cryptographic protocol for generating a distributed secret key from correlations that violate a Bell inequality by a sufficient amount, and prove its security against eavesdroppers, constrained only by the assumption that any information accessible to them must be compatible with the non-signaling principle. The claim holds with respect to the state-of-the-art security definition used in cryptography, known as universally-composable security. The non-signaling assumption only refers to the statistics of measurement outcomes depending on the choices of measurements; hence security is independent of the internal workings of the devices - they do not even need to follow the laws of quantum theory. This is relevant for practice as a correct and complete modeling of realistic devices is generally impossible. The techniques developed are general and can be applied to other Bell inequality-based protocols. In particular, we provide a scheme for estimating Bell-inequality violations when the samples are not independent and identically distributed. © 2014 IEEE.
Original language | English |
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Article number | 6846344 |
Pages (from-to) | 4973-4986 |
Journal | IEEE Transactions on Information Theory |
Volume | 60 |
DOIs | |
Publication status | Published - 1 Jan 2014 |
Keywords
- Quantum mechanics
- cryptographic protocols
- cryptography
- quantum entanglement
- random number generation